Question

the diameter of a sphere is 5 cm. find the length of the edge of a cube which has the same surface as that of the spear ​

Answer 1

Answer:

$5\sqrt{\frac{\pi }{6} }$cm

Step-by-step explanation:

cube's surface : S

radius : r

$S=4\pi r^2$

cube's surface : S

length : a

$S=6a^2$

$r=\frac{5}{2} \\S=4\pi *\frac{25}{4}=25\pi\\6a^2=25\pi \\a^2=\frac{25\pi }{6} \\a=5\sqrt{\frac{\pi}{6} } (a>0)$